Question

Find three consecutive integers whose sum is −36.

Short answer

The three consecutive integers are$-13,-12,-11.$

Step-by-step solution

Step 1. Given Information

The sum of three consecutive integers are$-36.$

Step 2. Forming linear equation

Let three consecutive integers are$x,x+1,x+2$

Then,$Sum=-36$

$x+\left(x+1\right)+\left(x+2\right)=-36$

Step 3. Finding integers

$$\begin{gathered} 3x+3=-36 \\ 3x=-36-3 \\ 3x=-39 \\ x=-13 \\ secondintegers=x+1=-12 \\ thirdinteger=x+2=-11 \end{gathered}$$